It’s not what you don’t know that gets you into trouble. It’s what you know for sure that just ain’t so. — Mark Twain
"God does not play dice with the universe," said Albert Einstein. Though a genius, Einstein made a common mistake: a false axiomatic assumption by accepting the incorrect starting hypothesis that God does not play dice with the universe. In fact, God does so all the time; otherwise, even the Almighty would simply die of boredom.
Defining "God" in Mathematical Economics
Abstract
This paper proposes a formal definition of "God" within the framework of mathematical economics, integrating concepts of randomness, growth, evolution, and Pareto efficiency.
Introduction
Traditional economic models often treat the universe as either static or entirely random. However, recent developments in evolutionary economics suggest a more nuanced reality: a universe that is both random and evolving, constrained by principles of efficiency.
Theoretical Framework
The Dynamic Universe:
Non-Static Nature: The universe is inherently dynamic, characterized by continuous change and evolution.
Non-Random Nature: Despite the presence of randomness, the universe follows a discernible pattern of growth and evolution.
Randomness and Growth:
The universe exhibits randomness, allowing for a diversity of outcomes and potential paths.
Growth occurs within this randomness, indicating an underlying trend towards complexity and development.
Pareto Efficiency as a Constraint:
Evolution is guided by Pareto efficiency, which ensures that resources are allocated in a way that no individual's situation can be improved without worsening another's.
This constraint accelerates evolution by promoting optimal resource utilization and fostering innovation and adaptation.
Universal Consciousness (God):
The overarching deterministic constraint of Pareto efficiency, driving evolution and growth, can be conceptualized as "universal consciousness" or "God."
This universal consciousness ensures that the universe evolves in a structured, efficient manner, balancing randomness with purposeful growth.
Mathematical Representation
To formalize this concept, we introduce the following notation:
Let U(t) represent the state of the universe at time t.
R(t) denotes the random component influencing the universe at time t.
G(t) represents the growth function of the universe at time t.
P(t) signifies the Pareto efficiency constraint at time t.
The evolution of the universe can then be modeled as: U(t+1)=U(t)+G(t)+R(t) subject to the constraint: P(t):Pareto Efficiency
This equation encapsulates the dynamic nature of the universe, incorporating randomness, growth, and the guiding principle of Pareto efficiency.
Conclusion
By defining "God" as the universal consciousness that ensures Pareto efficiency, without which evolution is provably impossible, we provide a structured, economic interpretation of the forces driving the universe's expansion and evolutionary growth. It is crucial to point out that not only is the observable universe growing, expanding, and evolving, but also that evolution, though often mislabeled as 'a theory,' is not a theory but a fact based on overwhelming real-world evidence. This evidence requires explanation in the form of a theory to describe how evolution actually works. This approach does so and bridges the gap between randomness and determinism, offering a cohesive framework for understanding the universe's complex dynamics.